{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/sasse/.local/lib/python3.6/site-packages/matplotlib/__init__.py:886: MatplotlibDeprecationWarning: \n",
      "examples.directory is deprecated; in the future, examples will be found relative to the 'datapath' directory.\n",
      "  \"found relative to the 'datapath' directory.\".format(key))\n"
     ]
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import os, math\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Smallest q-value in the data (0 will be replaced with it): 1.4957879999999997e-13\n"
     ]
    }
   ],
   "source": [
    "base_dir = '../../data/pancancer/TCGA/mutation/download_new/'\n",
    "ultra_mutator_file = '../../data/pancancer/TCGA/mutation/ultramutated_tumor_ids'\n",
    "all_qvalues = []\n",
    "ctypes = []\n",
    "\n",
    "# scan through directories to find the mutsigcv result files\n",
    "for dname in os.listdir(base_dir):\n",
    "    ctype_dir = os.path.join(base_dir, dname)\n",
    "    if os.path.isdir(ctype_dir):\n",
    "        for mutsigcvfile in os.listdir(ctype_dir):\n",
    "            if mutsigcvfile.endswith('.sig_genes.txt'):\n",
    "                # get the cancer type (study name from TCGA)\n",
    "                ctype = mutsigcvfile.split('.')[1]\n",
    "                ctypes.append(ctype)\n",
    "                # get the q-values from mutsigcv\n",
    "                full_path = os.path.join(base_dir, dname, mutsigcvfile)\n",
    "                mutsigcv_qvalues = pd.read_csv(full_path, sep='\\t').set_index('gene').q\n",
    "                all_qvalues.append(mutsigcv_qvalues)\n",
    "\n",
    "# create dataframe with all information inside\n",
    "gene_ctype_matrix = pd.DataFrame(all_qvalues, index=ctypes).T\n",
    "smallest_qvalue = gene_ctype_matrix[gene_ctype_matrix != 0].min().min()\n",
    "print (\"Smallest q-value in the data (0 will be replaced with it): {}\".format(smallest_qvalue))\n",
    "# take the -log10 of the q-values, according to what they did for HotNet2\n",
    "gene_ctype_matrix_nozero = gene_ctype_matrix.replace(0, smallest_qvalue)\n",
    "mutation_matrix = -np.log10(gene_ctype_matrix_nozero)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "gene_ctype_matrix.mean(axis=1).to_csv('../../data/pancancer/mutsigcv/mutsigcv_qvalues_mean.csv', sep='\\t')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<BarContainer object of 30 artists>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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SJEmSurNJiVRV3Q0cDCwAbgfOSTJ/E8c6v6r2BY4GPtBWNQ9YUlX3A+cCx7f3S/I04MPA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\n1CcLKUmSJEnqk4WUJEmSJPXp/wOqQa8wnmKe+gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1008x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(14, 8))\n",
    "most_highly_mutated_genes = mutation_matrix.mean(axis=1).sort_values(ascending=False).head(30)\n",
    "plt.barh(y=most_highly_mutated_genes.index,\n",
    "         width=most_highly_mutated_genes)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "mutation_matrix.to_csv('../../data/pancancer/mutsigcv/mutsigcv_genescores.csv', sep='\\t')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f9f576a05c0>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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4UopfjFnSPsy7WeY9pQvK2vwKf2bOXTh3Zxd3aOHlZQ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\ntcPhcDgcDofD4XA4HA6Hw+FwODaF/x+pP5/4MuwuqAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1800x1080 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(25, 15))\n",
    "for col in mutation_matrix.columns:\n",
    "    sns.kdeplot(mutation_matrix[col], alpha=.7, label=col, bw=0.06, lw=5)\n",
    "plt.legend(fontsize=15)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, '20 Longest Proteins')"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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kSZIktWSHfgdr/eYtDJyxut/T0COEx7dLkiRpPK5gSZIkSVJLDFiSJEmS1BID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\n6ogJliRJkiR15P8BJ/An8m34ETcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1008x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "annotation_gencode = pd.read_csv('../../data/pancancer/gencode/gencode.v28.basic.annotation.gff3',\n",
    "                                 comment='#', sep='\\t', skiprows=7,header=None,\n",
    "                                 names=['chr', 'source', 'type', 'start', 'end', 'score', 'strand', 'phase', 'attr']\n",
    "                                )\n",
    "# derive length of all exons\n",
    "annotation_gencode = annotation_gencode[annotation_gencode.type == 'exon']\n",
    "annotation_gencode['length'] = np.abs(annotation_gencode.end - annotation_gencode.start)\n",
    "# extract the gene name for each exon\n",
    "def get_hugo_symbol(row):\n",
    "    s = row.attr\n",
    "    for elem in s.split(';'):\n",
    "        if elem.startswith('gene_name'):\n",
    "            return elem.split('=')[1].strip()\n",
    "    return None\n",
    "annotation_gencode['Hugo_Symbol'] = annotation_gencode.apply(get_hugo_symbol, axis=1)\n",
    "# add length of exons together for each gene\n",
    "exonic_gene_lengths = annotation_gencode.groupby('Hugo_Symbol').length.sum()\n",
    "\n",
    "# plot the longest proteins at the end\n",
    "fig = plt.figure(figsize=(14, 8))\n",
    "plt.barh(y = range(20), width=exonic_gene_lengths.sort_values(ascending=False).head(20), tick_label=exonic_gene_lengths.sort_values(ascending=False).head(20).index)\n",
    "plt.xlabel('Exonic Length in Base Pairs')\n",
    "plt.title('20 Longest Proteins')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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OMmNKE/VKAFWFO9Z8wxk5squzW7u64+qNOYVM8pwUjZj2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\nr6dwSLrnt3/qN0XaFacckvMOtfQpIZM27uhSzHO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KzMOA2AIZBnABuXJ9bWYKG1Zec6XmgT6hAAnKeVMu1ES/7ajq0T6hUAnDvjNACGQJ4B\nbFyeWFuDC7ZMZ+/Obae17d25LRds8WcFYHORaQAMhUwDYAjkGcDG5V/iNXjG9q259fq5UyF38t0z\nz9juzn4ANheZBsBQyDQAhkCeAWxcpoJcg6mpymV7duSum67O/ImFzM5MZ9f2We+eAWDTkWkADIVM\nA2AI5BnAxqWwtkZTU5Xd3j0DwADINACGQqYBMATyDGBjMhUkAAAAAAAA9KCwBgAAAAAAAD0orAEA\nAAAAAEAPCmsAAAAAAADQg8IaAAAAAAAA9KCwBgAAAAAAAD3MTLoDm93iYsuRY/OZP7GQ2Znp7No+\nm6mpmnS3AOCcyTQAhkKmATAE8gxgY1JYW4PFxZZ7H3gkN+w/kENHj2fvzm259fq5XLZnh5ADYFOR\naQAMhUwDYAjkGcDGZSrINThybP5UuCXJoaPHc8P+AzlybH7CPQOAcyPTABgKmQbAEMgzgI1LYW0N\n5k8snAq3kw4dPZ75EwsT6hEAnB+ZBsBQyDQAhkCeAWxcCmtrUFXZu3PbaW17d25LlcexAdhcZBoA\nQyHTABgCeQawcSmsrcF0Jb/0Pc89FXJ7d27LL33PczMt3wDYZKYr+fnv/rrTMu3nv/vrZBqbzuJi\ny+FHHsv9Rx/N4Ucey+Jim3SXgHVmnAbAEBijAfQziesAM2M/w4Bt3TKVZ+yYzW2vel6mKllsycz0\nqB0ANpMtM1O5YMtUXn/dV+fC2ek8Or+QC7ZMZcvM2jNtcbHlyLH5zJ9YyOzMdHZtn/WybcbCC96B\nxDgNgGHYMjOViy6cOS3PFhYXnpAxGsBQTOo6gH+J12D+RMvhhx/L9//6B/L8n//DfP+vfyCHH34s\n8yfcGQ3A5nJioeVX3nsw8wuLSZL5hcX8ynsP5sTC2jLt5P/gvPRN78vVP/vevPRN78u9DzziKSLG\nwgvegcQ4DYBhaK3l4eMnTsuzh4+fSGvyDOCkSV0HUFhbg8cXFvNjd374tP9oP3bnh/N4d1ESADaL\nhbaYV3/Tl+f1v/fxfM9b3p/X/97H8+pv+vIsrHHQptDBevKCdyAxTgNgGL74+PJ59sXH5RnASZO6\nDqCwtgYnFtuy/9EW3IUPwCbTFpOf+J3TB20/8TsfTltjpil0sJ5mZ6aXfcH77Mz0hHoETIJxGgBD\nIM8Azm5S1wEU1tZgeqqW/Y/mHR4AbDaPrzBoO7HGQZtCB+tp1/bZ3Hr93GkveL/1+rns2j474Z4B\n65LqU/oAACAASURBVMk4DYAhkGcAZzep6wAzYz36wM1MVX7l+74+Dx17PBfOTufR+YU8ffuWzAg4\nADaZ6anKNZc/M9955bNz0bYt+fzxx/O799y35kHbyf/BOfMlsgodjMPUVOWyPTty101XZ/7EQmZn\nprNr+6yLD/AkY5wGwBDIM4Czm9R1AIW1NdgyXZmqyk+9/U9PXSy85RVXZMu0gANgc9m2ZSo//PxL\nc9MdHzqVaW96xRXZtmVtD7crdLDepqYqu3dsnXQ3gAkyTgNgCOQZQD+TuA5gKsg1WFhMfrC7AJmM\npsz6wTs+FO/EBmCzWVjMqaJaMsq0m56gTDv5PzgX77wwu3dsVVQDYKyM0wAYAnkGsHF5Ym0NHl9Y\nXPZ9NI9LOAA2GZkGwFDItCfe4mLLkWPznj4HWEfyDGDjGtsTa1X11qp6sKr+dEnb06vq7qr6ZPdz\nZ9deVfXGqjpYVR+pqiuW7LOv2/6TVbVvSfuVVfXRbp83VlWtdo5xmPISUYAnBZkGwFDINM7V4mLL\nvQ88kpe+6X25+mffm5e+6X2594FHsrjYJt014ElMngEwSeOcCvK2JNee0fbaJO9prV2a5D3d9yR5\nUZJLu8+NSW5JRmGV5OYk35DkeUluXhJYtyS5Ycl+157lHE+4qSS//PLnngq5vTu35Zdf/lzzawIM\nz22RaQAMw22RaZyDI8fmc8P+A6dNRXbD/gM5cmx+wj0DnuRuizwDYELGNhVka+3/rapLzmi+Lsnf\n6ZZvT/Kfkryma9/fWmtJ3l9VF1XVs7pt726tPZQkVXV3kmur6j8leWpr7f1d+/4kL0nyrlXO8YSr\nSnZcMJPXX/fVuXB2Oo/OL2THBTMpN44ADIpMA2AoZBrnav7EwrJTkc2fWJhQjwDkGQCTtd7vWNvT\nWvtst/y5JHu65YuT3Ldku0Nd22rth5ZpX+0cf0VV3ZjRnSr5si/7snP9XfL4Qsvfu+3AaYOMvTu3\n5bdvvOqcjwXApiPTABiKDZNpa82zRKY90WZnprN357a/8vecnZmeYK8AlrVh8iwxRgMYsok9Pdzd\nJTLWSdnPdo7W2ltaa3Ottbndu3ef8/FPLLZl79w7Ya55gCcVmQbAUEw609aaZ4lMe6Lt2j6bW6+f\nO20qsluvn8uu7bMT7hnAyiadZ916YzSAgVrvwtoD3aPW6X4+2LXfn+TZS7bb27Wt1r53mfbVzvGE\nm1nhJaIzXiIK8GQg0wAYCpnGiqamKpft2ZG7bro673vNN+eum67OZXt2ZMrfE9h45BkA62K9C2vv\nSLKvW96X5O1L2q+vkauSfKF7rPrdSa6pqp3dy0OvSfLubt3DVXVVVVWS68841nLneMI95YKp3PLK\nK0+7c++WV16Zp1zgNaIATwIyDYChkGmsamqqsnvH1ly888Ls3rFVUQ3YqOQZAOtibO9Yq6p/m9HL\nPJ9RVYeS3JzkDUnurKpXJ/l0kpd1m78zyYuTHEzyaJJXJUlr7aGqen2SD3bbve7kC0WT3JTktiTb\nMnp56Lu69pXO8YR79LGW3/uTQ/n17/8bmZ6qLCy2vO3AZ/L9V395nrbt7PsDsDnItPM/7uJiy5Fj\n85k/sZDZmens2j7rYhzABMm0cZ0VgPUkz8Z1VgD6GFthrbX2vSusesEy27YkP7TCcd6a5K3LtB9I\n8tXLtB9Z7hzjcGJxMR/41OdzxSW7ctG2Lfn88cfzgU99Pq/8xsX1OD0A6+TJkGmPr5Bpr1hDpi0u\nttz7wCO5Yf/ohdsn38li+iiAyXkyZJpxGsDwPVny7Ff/86fyq//5U6e1v/IbLznrvm5wBBivsRXW\nngy2zkzn5777a5JMZaqSXU/Zmp/77q/J1pnpSXcNAM7JBStk2gVryLQjx+ZPFdWS0Yu2b9h/IHfd\ndHV279i66r4GggCcL+M0AIZgemoq/+zbvjLPv/xZWWwtU1X5g49/NtNTq08F6QZHgPFTWFuD6alk\nsSX3H300F85O59H5hVy884JMm+oYgE1mHJk2f2LhVFHtpENHj2f+xMKq+xkIArAW01PJo/OLuemO\nL+XIm15xRXZeuLbjuukDgPX0lK2Vq7/imfnzB//y1Bjt6q94Zp6ydfXsWcsNjgD0o7C2BicWWo78\n5Xx+6u1/emrA9nPf9bV52gVbJt01ADgn48i02Znp7N257bTi2t6d2zJ7licGDAQBWIsvPr6Ym+74\n0Gk5ctMdH8pv33jVeR/TTR8ArLfj8y3/45HH/soY7albZ/LUVd6xdr43OALQn2er1uDxxZZ/9LaP\nnDZg+0dv+0geX2wT7hkAnJtxZNqu7bO59fq57N05GvWdvAi5a/vsqvsZCAKwFicW27I5cmINmbbS\nTR9Hjs2vqa8AsJLzHaOdvMFxqT43OALQnyfW1mBhhQHbosIaAJvMapl2/9FHz2vKq6mpymV7duSu\nm64+p2mzzvdJNwBIkpmpWjZHZtbwZJmbPgBYb+d73fHkDY5nPmV9thscAehPYW0NZqencs3lz8x3\nXvnsXLRtSz5//PH87j33ZYuXrAGwyayWad/4hj847ymvpqbqnKdvNBAEYC0unJ3Kr7/qb+TQQ8dP\nvZNm79O35cLZ8x+nuekDgPV2vtcdz/cGRwD6U1hbgy3TlR95/qX5wW7+/r07t+WWV1yRLdOCCoDN\nZaVMm+4ybT3fc2YgCMBazJ9o+fyx098b+osv+7o8dev5D3/d9AHAelvLdcfzucERgP48WrUGXzyx\neCrcktFFxx+840P54onFCfcMAM7Nipk2/6UprtZzyquTA8GLd16Y3Tu2KqoB0Nvjiy0/dueHT8u0\nH7vzw2t6b+jSmz7e95pvzl03XX3OT3EDwLlw3RFg4/LE2hp4xxoAQ7Fipi2JNFNeAbAZjGuc5u5/\nANaT644AG5cn1tZgy/TopdhL7d25LTOmggRgk1kp06a7O/FNecVmsbjYcviRx3L/0Udz+JH/n707\nj5OrKvM//n2qek13QprQiUCAAEYwYkJIxAC/URZRUASRRSCsKgQQcQVxNILDqKwuyBLAgbAqmwgy\nIjIoMoNGSEACRMIiYJotIXT23uv5/XFvNdXdVdVVvdWt25/365VXuqtuVZ3bXX2/dc6557ltDDwA\noxD9NABAHJBnABBdTKwNQtJMPzlyRnfIpWv3J42AAwCUl1yZVpU0Sl6hbKRSruVvrdehVz6qvS78\nkw698lEtf2s9k2vAKEM/DQAQB+QZAEQXpSAHob0rpTsWN+n6Ez+kZMLUlXJd+8g/9eX93lvqpgEA\nUJR8mbbN5nWlbh5QkNUb23XyjYt7XIfi5BsX6+7T96J8GzCK0E8DAMQBeQYA0cXE2iBUJRM6dLet\nddLCx9XU3KLJDbW6+PDpqkqyEBAAUF7INMRBe2dX1utQtHd2lahFAEqBTAMAxAF5BgDRxZF4EDpT\nrrPuXNrjrOiz7lyqTsoNAQDKTLGZxnWsEEVVFcms16GoqkiWqEUASoF+GgAgDsgzAIguVqwNQspd\njfXVmn/QNI2vrdSalg4tePglpXzkAi6Vcq3e2K72zi5VVSQ1oa6K698AAIpWTKalr2OVLrk3uaFW\n1x4/e0ivwUa+YSAm1FXp2uNn93lvTqirKnXTAIygKPTTAAAYLPIMAKKLibVBqK5I6uwDduo+eyS9\nJLt6hM6KHomBTQDA6FBMpuW6jtXt8/aQuw96Iox8w0AlEqadJo3V3afvxaQsMIqVup8GAMBQIM8A\nILooBTkInV2p7Euyu1Ij8vq5BjZXb2wfkdcHAMRHMZmW6zpWr69p0V4X/kmHXvmolr+1fsDlIck3\nDEYiYWocW62tG8aocWw1k2rAKFTqfhoAAEOBPAOA6GLF2iB0pFx77jBBJ39kByUTpq6U69pH/qmO\nEap1nGtgs72za0ReHwAQHx0pz5op2TItfR2rzO0nN9R2T3ylJ8LuPn0vNY6t7t6m0PKOxeTbQEpG\nUmYSoxHve4wmpe6nAQAwFMgzAIguJtYGoa4qqWP32E4nLXy8e0n2lXN3U13VyCzJzjWwWcWScAAR\nw4Bu9FUkLGumVGT5PWW7jtWFh03XJQ8s796m90RYMeUdC823gZSMpMwkRiPe90OLTIu+UvfTAKBc\nkGnRRp6hWPxNY7QqxXufUpCD0NaZ0um3PNFjSfbptzyhts6RWZKdHtic3FArSd2DJBPqqkbk9QGg\nEOkB3UOvfHRIygRieNRUJnTl3N16ZMqVc3dTTWXfjwqZ17F69Fv76PZ5e+iGv7ysJ1es6d6m90TY\nmpZ2vbm2VZceMUNXHzdLjfXVOcs7FppvAykZSZlJjEa874cOmVYeSt1Pi6NUyrVqfZtea96kVevb\neM8DMUCmRV++PONYjN74m8ZoVar3PivWBqEz5Wqsr9b8g6ZpfG2l1rR0aMHDL6lzhA5YmQObnIkA\nIKpyDej2LhOI0urscm1eV6lfnTJHXSlXMmGSXJ1d2TMtfR0rKfgQ87X9d9KyN9b3WA2TnghLpVxv\nrGnV/Hue6bPCLVt5x0LzbSAlkSmjjNGI9/3QIdPKQ6n7aXHDqlcgnsi06MuXZ5+78lGOxeiBv2mM\nVqV67zOxNgg1FQmdfcBO3RcSndxQq4sPn66aipFbCJg5sAkAUcSAbnkwk5o3dui08IzIyQ21umru\nbpo0rv+M6W8ibPXGds27eUmPDznfumupzj9kF1VVJHMu2e8v3wZSEpkyyhiNeN8PHTKtPEShnxYn\nDNQB8USmRV++PONYjN74m8ZoVar3Pj2LQUi5usNNCn5hZ925VJwICQDvSg/oZmJAN3o6urx7Uk0K\nMu20W55QR44Va70lEqYJdVWqqkiqvbNLqze2dy+7z/UhZ/st6tRQWzngJfsDKYlMGWWMRrzvhw6Z\nVh7opw0tBuqAeCLToq+/PONYXLjRUNKYv2mMVqV677NibRA6ulLac4cJOvkjOyiZMHWlXNc+8k91\npKjdDwBp6QHd3uWDGNCNlq6UZ820LnelUt5veZF8ZaJyrZYZU51Uc0vHgM+C771SrrIioYqE6Y21\nLTnLR8apjDIXpkah4vS+LzUyrTzQTxtarHoF4olMi77+8oxjcWFGS0lj/qYxWpXqvW/u8ZuhH4jZ\ns2f74sWLi3rM6g2ten1Na5+yWVuNr9GE+pphaungMRAHYKQN5XHHzJa4++whbmKsDHWmdaWCTl3m\n76737zSZkA6+/NE+g263z9tDE+ur9cKqDVk7Mm+sbdFeF/6pT3se/dY+2rphTMHtHy2dpbTRtr9A\nlHR2prRyQ5s6u1KqSCY0sb5aFQMoMUie9W8geSYNXz9tpPpRA3md4WwbmTNy6KvHQzn9HoeqrWRa\n/4a6j7a0aZ22mzBGUybURfb9FRWr1rfp0Cv79lXjWEZzoH/T5XTcArIpxbgjK9YGoa0jpZ//8YUe\nFxH9+R9f0Hmf/kCpm5YTnSIApcD1IKMvX6at3tiu793zrFZtaNO1x8/W1Mb6PhNlVx87S4311T06\nK03NLXp9TYvWtnRoamN91tUyQ3UW/Gi7/sto219gqAy2w5VKec4TBfgsHR3D0U8bqX7UQF5nuNvG\nqteRQV89Hvg9Yijly7P59zyja49nLrMQo6mk8UDGXjhuIQ5KMe7INdYGw6Svf/x92rGxXo1jq7Vj\nY72+/vH3SRE+5uQaiFu9sb3ELQMAlFSeTDvtlid06t47dmfGyg1tfbJk3s1LdOZ+U3s85eSG2u7c\naW7pUOPYam3dMEaNY6u7P6AP1bWfRlNnSRp9+wsMhfSgwUCu6ZjGZ+kyMQz9tJH43adSrjfXtRb9\nOiPRtvRgRe8cx9Dh+BIP5fR7HIpcxDDLk2dRfm9FDdcey6+cjltAlDCxNghVyYSSZlrxTnDhyxXv\nbFLSTFXJ6P5Yix2IGw0X9wQA5M+0puYWTQzP/GlqblFHVyprluzQWNdjguyKY3bTQ8ve6pMzmdmy\nemN792q2R7+1j+4+fa8eZ8YVmkOjrbM02vYX0VWqz4oDed2hGDRgUrs85Mu0gb5Hh/t3nx7gfn1N\nS9Gvw/syHvg9xkM5/R4ZTI++/sYdG+ur1d7ZxZhdP3KdzJlMiJ+dyuu4BUQJpSAHoSvlGltToamT\n6tWVciUTpopEcHtUFVNyi6XAADB65Mu0yQ212qy2UjO3Ga9VG9pUkbCsWVJTkdCvTpmj9s6UulKu\nOxf/S4fM3FoNYypkZnqteZMqKxLa0Nqp4697rN9syZZDVx83S1vUVSmRSPQoQzXaLtQ82vYX0VSq\nz4oDfd2hGDSoqkjq49Mm6rBZ23SXZLpryQomtSMmX6Ytf2v9gN6jufpR6XwbbHnE9AD3/IOmFV0i\neajKKqO0+D3GQzn9Hts7u9RYX92jzOCCh19iMD1C8uXZzG3G6+wDdtLnrlnEmF0/epc0TvdJ09cI\nH+0/u3I6bgFREt2lVWWgptLU3uVq7QgGEFs7UmrvctVURvcgXEzJLc5eAoDRI1+mXXHMbrrtsVd1\n8REzdMPnd1cyYbr0iBk9suTyY2bq7Y3tOuqaRdr30j/rpIWPa9/3v0cvvLlWx8yZotfXtOiZ19fp\nu3c/rbfWtaqx/t0VcCffuFhvb2zr06ZsOTTvpiX6e9NaHXrlo3pl9UatXN9a0Mq3uMnsHBa6v6xC\nx1Ar1WfFgb7uUKz0bKit1Jn7vU/n37dMn7tmkc6/b5nO3O99aqitLH5HMGzyZVqu90p/x8hs/agF\nx87Sefc+MyQl1NITvwsefkkXHja9qBLJ+fp4HPvLx1CVx0ZpldPvsbYqqbMP2KlHpp19wE6qrWIw\nPSry5dmZ+03VWXcuZcyuQJkljU3WfaKnxM+unI5bQJSwYm0QOrukNZs6dPotT3Sf4XDl3N1UVxnd\nDyHFXHiapcDRk0q5Vm9s56LhAIZcvkx7ZPlKfWSnSTrx+ndXmV1xzExd8NkPqjKZ0JqWDlUmEpp3\n05IenZNv3PGUbj35w/rP+5bpsFnbaEJdlc458P267bFXdereO2reTUu6t23tSPVpU64cGl9bqcb6\nar21rlXHX7d01J5lWMzFeVmFjuFQqs+KA33doVjp2dzSoVNv7nmsO/XmJbr79L1G/GLZyC1fpmV7\nrxRyjOzdjzIznXfvM/rDspWS3h2UG+h7IT3x++SKNbrkgeWaf9A0Tair0lbja/WecTV5j9W5+niS\nOPaXkWL66uVqNPRny+n32JnyPhMzZ925VL8+fc8Stwxp+fJsh8a6vJ+HRsPf20Ax3tlTOR23gChh\nYm0QWjtTuvyPL/RYNn/5H1/QuZ/+QKmbllehA3EsBY4WBkUBDKd8mXbwzK3V0eXac4cJun1Jk5qa\nW/SlW5/U+YfsomP/a5E+Pm2ivvOpaVk7JybphD2317fuWpoxKbebqivePW5NbqhVMuMwlu4Epu/r\nnUNrWjp06t47Zj1DM9uAJp3K3Ct8mAzAYJTqs+JAX3coBg3aGIgpC/kyLdt7Jdcx8rZT5vR4n2T2\no15r3tQ9qZY2mPdC5sTvkyvW6Pz7luna42f3O6mWlq2Pt2p9G8f+MlPMSTPlZjT1Z8vl99jRmf26\nyR2dfU94Q2nky7P2zlTOEsXFlNQvhVL3zxjv7KtcjltAlFAKchDMpNP3eW/3RUOrkgmdvs97ZTH5\nTMhS4GihNCeA4ZQv0z568cM68frHdNyeU3TPl/bUzG3Gq6m5RdtsXqvbTpmjsz6xs1LuWUusSdY9\nqSYpnJR7QvU1lbrtlDm6/sQP6YpjZnaXnEl3Ag+98lGdceuTuvjwnuWwLjxsuhY8/JLG11ZmHQho\n6eh58e7M5xuKUl3lirMyMRxK9VlxMK+bWQaocWx10YM4JuU41iFK8mXajZ/fvc97Jdcxsqm5JWdu\nDEVp0UwDKfHbH479iBL6s9GTMMt6HEvEZVArBvLlWWtHV5/SwRceNl1J67+kfjrXSlEuOAr9M8Y7\nAQwFVqwNQtJM9dVJ1VdXKmFSkAEpJSP+IaTQM0MGclZvqc86iTM6xgCGU3+Z1tTcotNuXqKFJ+2u\ncw+eptaOlCqSCU0aV63KZEKdKddPjpyhr93+VPdZkT85coY6urKfCfvm2lZ97ppFwdmTx86Sy/Va\n8yaZWXcnsKm5RRf9frnOP2QX7TixTnLplkWv6NS9d9R7NqvR5IZaNdZX69S9d9T42kptau/Smk3t\nOvjyR7s7R5PGVUf2bP2RzEzOysRwKFXZmFKWqzGTLj9mppo3dmhMVVKb2rvUUBccNxEd+TKtvrqi\n+9hbmUyosyulzpTr+hM/pMseekFPrlijmduM15n7TdWE+irNP2iafvLgcv3noR/UxLE13a8xFKVF\nexvqs8U59iNKRlN/tlzGRZImXXz49O4qEJMbanXx4dN7VJJAaeXLs5rKpH7eazXbDX95WecdvIs6\n85TUT/eH7j1jL721rm3EV5FGoZIGpQ+BwpVLppWinUysDUIyYWppT+m0W94Noavm7qbxtdF7c6UV\nW34hkTBNqKvqfmOu3tie8405m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25ksPPpYduyfypQcfyz/u2ptW+00HBmaXXndX/uMHPpcvPfhYvv3Ivjy858kkydNXj+aai7fk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\nZNevgDcO2fdkiqmQAb5U/vxPoxz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      "text/plain": [
       "<Figure size 2160x2160 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bestSplit = lambda x: (round(math.sqrt(x)), math.ceil(x / round(math.sqrt(x))))\n",
    "\n",
    "length_and_mean_matrix = mutation_matrix.join(exonic_gene_lengths).dropna(axis=0)\n",
    "fig = plt.figure(figsize=(30, 30))\n",
    "x, y = bestSplit(mutation_matrix.shape[1])\n",
    "for i in range(mutation_matrix.shape[1]):\n",
    "    plt.subplot(x, y, i+1)\n",
    "    sns.scatterplot(length_and_mean_matrix.iloc[:, i], length_and_mean_matrix.length)\n",
    "    plt.title('{0} (R={1:.2f})'.format(mutation_matrix.columns[i],\n",
    "                                 length_and_mean_matrix.iloc[:, i].corr(length_and_mean_matrix.length)))\n",
    "fig.savefig('../../data/pancancer/TCGA/mutation/mutation_length_correlation_mutsigcv.png', dpi=300)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
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